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Scott, MIT Graduate
Category: Math Homework
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The following data lists the average monthly snowfall for January

Resolved Question:

The following data lists the average monthly snowfall for January in 15 cities around the US:

8 35 31 26 36 41 29 40
17 16 33 38 30 34 13

Find the mean, variance, and standard deviation. Please show all of your work.
Submitted: 5 years ago.
Category: Math Homework
Expert:  Scott replied 5 years ago.

Hi there,


Do you need a sample variance / standard deviation or a population variance / standard deviation?


Let me know,


Customer: replied 5 years ago.
I need the mean, sample variance, and standard deviation.
Expert:  Scott replied 5 years ago.

Great, thanks!


mean = average of the numbers

= (8+35+31+26+36+41+29+40+17+16+33+38+30+34+13)/15

= 28.46667


var = sum of square deviations from the mean, divided by one less than the sample size

= ((8-28.46667)^2+(35-28.46667)^2+(31-28.46667)^2+(26-28.46667)^2+(36-28.46667)^2+(41-28.46667)^2+(29-28.46667)^2+(40-28.46667)^2+(17-28.46667)^2+(16-28.46667)^2+(33-28.46667)^2+(38-28.46667)^2+(30-28.46667)^2+(34-28.46667)^2+(13-28.46667)^2)/14



stdev = sqrt(var)

= sqrt(106.5524)

= 10.3224


Let me know if you have any questions, and thanks for accepting!


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